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author | das <das@FreeBSD.org> | 2008-04-03 06:15:58 +0000 |
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committer | das <das@FreeBSD.org> | 2008-04-03 06:15:58 +0000 |
commit | 1d00db50e1bc48f21957440dc37bd1fe74af6101 (patch) | |
tree | 223122bc81462b57c39fd8a2a1dec155234f1dc8 /tools/regression/lib/msun/test-fma.c | |
parent | 6a8cdf6fedaae32990f8fa3c347c703c2a99fa16 (diff) | |
download | FreeBSD-src-1d00db50e1bc48f21957440dc37bd1fe74af6101.zip FreeBSD-src-1d00db50e1bc48f21957440dc37bd1fe74af6101.tar.gz |
Add some tests for fma(), fmaf(), and fmal().
Diffstat (limited to 'tools/regression/lib/msun/test-fma.c')
-rw-r--r-- | tools/regression/lib/msun/test-fma.c | 413 |
1 files changed, 413 insertions, 0 deletions
diff --git a/tools/regression/lib/msun/test-fma.c b/tools/regression/lib/msun/test-fma.c new file mode 100644 index 0000000..5511eb3 --- /dev/null +++ b/tools/regression/lib/msun/test-fma.c @@ -0,0 +1,413 @@ +/*- + * Copyright (c) 2008 David Schultz <das@FreeBSD.org> + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +/* + * Tests for fma{,f,l}(). + */ + +#include <sys/cdefs.h> +__FBSDID("$FreeBSD$"); + +#include <assert.h> +#include <fenv.h> +#include <float.h> +#include <math.h> +#include <stdio.h> + +#define ALL_STD_EXCEPT (FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \ + FE_OVERFLOW | FE_UNDERFLOW) + +#pragma STDC FENV_ACCESS ON + +/* + * Test that a function returns the correct value and sets the + * exception flags correctly. The exceptmask specifies which + * exceptions we should check. We need to be lenient for several + * reasons, but mainly because on some architectures it's impossible + * to raise FE_OVERFLOW without raising FE_INEXACT. + * + * These are macros instead of functions so that assert provides more + * meaningful error messages. + */ +#define test(func, x, y, z, result, exceptmask, excepts) do { \ + assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ + assert(fpequal((func)((x), (y), (z)), (result))); \ + assert(((func), fetestexcept(exceptmask) == (excepts))); \ +} while (0) + +#define testall(x, y, z, result, exceptmask, excepts) do { \ + test(fma, (x), (y), (z), (double)(result), (exceptmask), (excepts)); \ + test(fmaf, (x), (y), (z), (float)(result), (exceptmask), (excepts)); \ + test(fmal, (x), (y), (z), (result), (exceptmask), (excepts)); \ +} while (0) + +/* Test in all rounding modes. */ +#define testrnd(func, x, y, z, rn, ru, rd, rz, exceptmask, excepts) do { \ + fesetround(FE_TONEAREST); \ + test((func), (x), (y), (z), (rn), (exceptmask), (excepts)); \ + fesetround(FE_UPWARD); \ + test((func), (x), (y), (z), (ru), (exceptmask), (excepts)); \ + fesetround(FE_DOWNWARD); \ + test((func), (x), (y), (z), (rd), (exceptmask), (excepts)); \ + fesetround(FE_TOWARDZERO); \ + test((func), (x), (y), (z), (rz), (exceptmask), (excepts)); \ +} while (0) + +/* + * Determine whether x and y are equal, with two special rules: + * +0.0 != -0.0 + * NaN == NaN + */ +int +fpequal(long double x, long double y) +{ + + return ((x == y && signbit(x) == signbit(y)) || (isnan(x) && isnan(y))); +} + +static void +test_zeroes(void) +{ + const int rd = (fegetround() == FE_DOWNWARD); + + testall(0.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); + testall(1.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); + testall(0.0, 1.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); + testall(0.0, 0.0, 1.0, 1.0, ALL_STD_EXCEPT, 0); + + testall(-0.0, 0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(0.0, -0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(-0.0, -0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); + testall(0.0, 0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(-0.0, -0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + + testall(-0.0, 0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0); + testall(0.0, -0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0); + + testall(-1.0, 1.0, 1.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(1.0, -1.0, 1.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + testall(-1.0, -1.0, -1.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); + + switch (fegetround()) { + case FE_TONEAREST: + case FE_TOWARDZERO: + test(fmaf, -FLT_MIN, FLT_MIN, 0.0, -0.0, + ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); + test(fma, -DBL_MIN, DBL_MIN, 0.0, -0.0, + ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); + test(fmal, -LDBL_MIN, LDBL_MIN, 0.0, -0.0, + ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); + } +} + +static void +test_infinities(void) +{ + + testall(INFINITY, 1.0, -1.0, INFINITY, ALL_STD_EXCEPT, 0); + testall(-1.0, INFINITY, 0.0, -INFINITY, ALL_STD_EXCEPT, 0); + testall(0.0, 0.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + testall(1.0, 1.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + testall(1.0, 1.0, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); + + testall(INFINITY, -INFINITY, 1.0, -INFINITY, ALL_STD_EXCEPT, 0); + testall(INFINITY, INFINITY, 1.0, INFINITY, ALL_STD_EXCEPT, 0); + testall(-INFINITY, -INFINITY, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + + testall(0.0, INFINITY, 1.0, NAN, ALL_STD_EXCEPT, FE_INVALID); + testall(INFINITY, 0.0, -0.0, NAN, ALL_STD_EXCEPT, FE_INVALID); + + /* The invalid exception is optional in this case. */ + testall(INFINITY, 0.0, NAN, NAN, ALL_STD_EXCEPT & ~FE_INVALID, 0); + + testall(INFINITY, INFINITY, -INFINITY, NAN, + ALL_STD_EXCEPT, FE_INVALID); + testall(-INFINITY, INFINITY, INFINITY, NAN, + ALL_STD_EXCEPT, FE_INVALID); + testall(INFINITY, -1.0, INFINITY, NAN, + ALL_STD_EXCEPT, FE_INVALID); + + test(fmaf, FLT_MAX, FLT_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); + test(fma, DBL_MAX, DBL_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); + test(fmal, LDBL_MAX, LDBL_MAX, -INFINITY, -INFINITY, + ALL_STD_EXCEPT, 0); + test(fmaf, FLT_MAX, -FLT_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + test(fma, DBL_MAX, -DBL_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); + test(fmal, LDBL_MAX, -LDBL_MAX, INFINITY, INFINITY, + ALL_STD_EXCEPT, 0); +} + +static void +test_nans(void) +{ + + testall(NAN, 0.0, 0.0, NAN, ALL_STD_EXCEPT, 0); + testall(1.0, NAN, 1.0, NAN, ALL_STD_EXCEPT, 0); + testall(1.0, -1.0, NAN, NAN, ALL_STD_EXCEPT, 0); + testall(0.0, 0.0, NAN, NAN, ALL_STD_EXCEPT, 0); + testall(NAN, NAN, NAN, NAN, ALL_STD_EXCEPT, 0); + + /* x*y should not raise an inexact/overflow/underflow if z is NaN. */ + testall(M_PI, M_PI, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fmaf, FLT_MIN, FLT_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fma, DBL_MIN, DBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fmal, LDBL_MIN, LDBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fmaf, FLT_MAX, FLT_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fma, DBL_MAX, DBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); + test(fmal, LDBL_MAX, LDBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); +} + +/* + * Tests for cases where z is very small compared to x*y. + */ +static void +test_small_z(void) +{ + + /* x*y positive, z positive */ + if (fegetround() == FE_UPWARD) { + test(fmaf, 1.0, 1.0, 0x1.0p-100, 1.0 + FLT_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, 1.0, 1.0, 0x1.0p-200, 1.0 + DBL_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, 1.0, 1.0, 0x1.0p-200, 1.0 + LDBL_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p100, 1.0, 0x1.0p-100, 0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* x*y negative, z negative */ + if (fegetround() == FE_DOWNWARD) { + test(fmaf, -1.0, 1.0, -0x1.0p-100, -(1.0 + FLT_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, -1.0, 1.0, -0x1.0p-200, -(1.0 + DBL_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, -1.0, 1.0, -0x1.0p-200, -(1.0 + LDBL_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p100, -1.0, -0x1.0p-100, -0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* x*y positive, z negative */ + if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) { + test(fmaf, 1.0, 1.0, -0x1.0p-100, 1.0 - FLT_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, 1.0, 1.0, -0x1.0p-200, 1.0 - DBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, 1.0, 1.0, -0x1.0p-200, 1.0 - LDBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p100, 1.0, -0x1.0p-100, 0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* x*y negative, z positive */ + if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) { + test(fmaf, -1.0, 1.0, 0x1.0p-100, -1.0 + FLT_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, -1.0, 1.0, 0x1.0p-200, -1.0 + DBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, -1.0, 1.0, 0x1.0p-200, -1.0 + LDBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(-0x1.0p100, 1.0, 0x1.0p-100, -0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } +} + +/* + * Tests for cases where z is very large compared to x*y. + */ +static void +test_big_z(void) +{ + + /* z positive, x*y positive */ + if (fegetround() == FE_UPWARD) { + test(fmaf, 0x1.0p-50, 0x1.0p-50, 1.0, 1.0 + FLT_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + DBL_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + LDBL_EPSILON, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(-0x1.0p-50, -0x1.0p-50, 0x1.0p100, 0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* z negative, x*y negative */ + if (fegetround() == FE_DOWNWARD) { + test(fmaf, -0x1.0p-50, 0x1.0p-50, -1.0, -(1.0 + FLT_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + DBL_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + LDBL_EPSILON), + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p-50, -0x1.0p-50, -0x1.0p100, -0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* z negative, x*y positive */ + if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) { + test(fmaf, -0x1.0p-50, -0x1.0p-50, -1.0, + -1.0 + FLT_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); + test(fma, -0x1.0p-100, -0x1.0p-100, -1.0, + -1.0 + DBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, -0x1.0p-100, -0x1.0p-100, -1.0, + -1.0 + LDBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(0x1.0p-50, 0x1.0p-50, -0x1.0p100, -0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } + + /* z positive, x*y negative */ + if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) { + test(fmaf, 0x1.0p-50, -0x1.0p-50, 1.0, 1.0 - FLT_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fma, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - DBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + test(fmal, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - LDBL_EPSILON / 2, + ALL_STD_EXCEPT, FE_INEXACT); + } else { + testall(-0x1.0p-50, 0x1.0p-50, 0x1.0p100, 0x1.0p100, + ALL_STD_EXCEPT, FE_INEXACT); + } +} + +static void +test_accuracy(void) +{ + + /* ilogb(x*y) - ilogb(z) = 20 */ + testrnd(fmaf, -0x1.c139d8p-51, -0x1.600e7ap32, 0x1.26558cp-38, + 0x1.34e48ap-18, 0x1.34e48cp-18, 0x1.34e48ap-18, 0x1.34e48ap-18, + ALL_STD_EXCEPT, FE_INEXACT); + testrnd(fma, -0x1.c139d7b84f1a3p-51, -0x1.600e7a2a16484p32, + 0x1.26558cac31580p-38, 0x1.34e48a78aae97p-18, + 0x1.34e48a78aae97p-18, 0x1.34e48a78aae96p-18, + 0x1.34e48a78aae96p-18, ALL_STD_EXCEPT, FE_INEXACT); +#if LDBL_MANT_DIG == 113 + testrnd(fmal, -0x1.c139d7b84f1a3079263afcc5bae3p-51L, + -0x1.600e7a2a164840edbe2e7d301a72p32L, + 0x1.26558cac315807eb07e448042101p-38L, + 0x1.34e48a78aae96c76ed36077dd387p-18L, + 0x1.34e48a78aae96c76ed36077dd388p-18L, + 0x1.34e48a78aae96c76ed36077dd387p-18L, + 0x1.34e48a78aae96c76ed36077dd387p-18L, + ALL_STD_EXCEPT, FE_INEXACT); +#elif LDBL_MANT_DIG == 64 + testrnd(fmal, -0x1.c139d7b84f1a307ap-51L, -0x1.600e7a2a164840eep32L, + 0x1.26558cac315807ecp-38L, 0x1.34e48a78aae96c78p-18L, + 0x1.34e48a78aae96c78p-18L, 0x1.34e48a78aae96c76p-18L, + 0x1.34e48a78aae96c76p-18L, ALL_STD_EXCEPT, FE_INEXACT); +#elif LDBL_MANT_DIG == 53 + testrnd(fmal, -0x1.c139d7b84f1a3p-51L, -0x1.600e7a2a16484p32L, + 0x1.26558cac31580p-38L, 0x1.34e48a78aae97p-18L, + 0x1.34e48a78aae97p-18L, 0x1.34e48a78aae96p-18L, + 0x1.34e48a78aae96p-18L, ALL_STD_EXCEPT, FE_INEXACT); +#endif + + /* ilogb(x*y) - ilogb(z) = -40 */ + testrnd(fmaf, 0x1.98210ap53, 0x1.9556acp-24, 0x1.d87da4p70, + 0x1.d87da4p70, 0x1.d87da6p70, 0x1.d87da4p70, 0x1.d87da4p70, + ALL_STD_EXCEPT, FE_INEXACT); + testrnd(fma, 0x1.98210ac83fe2bp53, 0x1.9556ac1475f0fp-24, + 0x1.d87da3aafc60ep70, 0x1.d87da3aafda40p70, + 0x1.d87da3aafda40p70, 0x1.d87da3aafda3fp70, + 0x1.d87da3aafda3fp70, ALL_STD_EXCEPT, FE_INEXACT); +#if LDBL_MANT_DIG == 113 + testrnd(fmal, 0x1.98210ac83fe2a8f65b6278b74cebp53L, + 0x1.9556ac1475f0f28968b61d0de65ap-24L, + 0x1.d87da3aafc60d830aa4c6d73b749p70L, + 0x1.d87da3aafda3f36a69eb86488224p70L, + 0x1.d87da3aafda3f36a69eb86488225p70L, + 0x1.d87da3aafda3f36a69eb86488224p70L, + 0x1.d87da3aafda3f36a69eb86488224p70L, + ALL_STD_EXCEPT, FE_INEXACT); +#elif LDBL_MANT_DIG == 64 + testrnd(fmal, 0x1.98210ac83fe2a8f6p53L, 0x1.9556ac1475f0f28ap-24L, + 0x1.d87da3aafc60d83p70L, 0x1.d87da3aafda3f36ap70L, + 0x1.d87da3aafda3f36ap70L, 0x1.d87da3aafda3f368p70L, + 0x1.d87da3aafda3f368p70L, ALL_STD_EXCEPT, FE_INEXACT); +#elif LDBL_MANT_DIG == 53 + testrnd(fmal, 0x1.98210ac83fe2bp53L, 0x1.9556ac1475f0fp-24L, + 0x1.d87da3aafc60ep70L, 0x1.d87da3aafda40p70L, + 0x1.d87da3aafda40p70L, 0x1.d87da3aafda3fp70L, + 0x1.d87da3aafda3fp70L, ALL_STD_EXCEPT, FE_INEXACT); +#endif +} + +int +main(int argc, char *argv[]) +{ + int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO }; + int i; + + printf("1..18\n"); + + for (i = 0; i < 4; i++) { + fesetround(rmodes[i]); + test_zeroes(); + printf("ok %d - fma zeroes\n", i + 1); + } + + for (i = 0; i < 4; i++) { + fesetround(rmodes[i]); + test_infinities(); + printf("ok %d - fma infinities\n", i + 5); + } + + fesetround(FE_TONEAREST); + test_nans(); + printf("ok 9 - fma NaNs\n"); + + for (i = 0; i < 4; i++) { + fesetround(rmodes[i]); + test_small_z(); + printf("ok %d - fma small z\n", i + 10); + } + + for (i = 0; i < 4; i++) { + fesetround(rmodes[i]); + test_big_z(); + printf("ok %d - fma big z\n", i + 14); + } + + fesetround(FE_TONEAREST); + test_accuracy(); + printf("ok 18 - fma accuracy\n"); + + /* + * TODO: + * - Tests for subnormals + * - Cancellation tests (e.g., z = (double)x*y, but x*y is inexact) + */ + + return (0); +} |